problem in the workink of rc circuit in DC source

[shirish heller]

If in a circuit there is just a battery source (DC), a capacitor and a resistor all in series ,the will the current flow in the circuit????.....because ideally capacitor blocks DC and no current should flow in the circuit....
but in many numericals of circuit theory i see that these type of circuits have a response associated
and is calculated by taking impedance of capacitor jC

 

[Audioguru]

Obviously, the capacitor charges with DC current from the battery. The amount of current is limited by the resistance.
The capacitor voltage rises to about 63% of the battery voltage in "one time constant" which is R in Ohms times C in Farads.
When the capacitor is fully charged then no more charging current occurs.